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Finding the Third Proportional to 84,519.70 and 120,855.48

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Solution

The third proportional to 84,519.70 and 120,855.48 is: 172,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,519.70 : 120,855.48 = 120,855.48 : x
  2. Step 2: Convert to fraction form
    84,519.70/120,855.48 = 120,855.48/x
  3. Step 3: Cross multiply
    84,519.70x = 120,855.48 × 120,855.48
  4. Step 4: Simplify right side
    84,519.70x = 14,606,047,159.33
  5. Step 5: Solve for x
    x = 14,606,047,159.33/84,519.70
  6. Step 6: Final answer
    x = 172,812.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.